2121111120013 has 2 divisors, whose sum is σ = 2121111120014. Its totient is φ = 2121111120012.

The previous prime is 2121111119989. The next prime is 2121111120041. The reversal of 2121111120013 is 3100211111212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1297587539689 + 823523580324 = 1139117^2 + 907482^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121111120013 - 2²¹ = 2121109022861 is a prime.

It is a super-2 number, since 2×2121111120013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121111220013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060555560006 + 1060555560007.

It is an arithmetic number, because the mean of its divisors is an integer number (1060555560007).

Almost surely, 2^{2121111120013} is an apocalyptic number.

It is an amenable number.

2121111120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121111120013 is an equidigital number, since it uses as much as digits as its factorization.

2121111120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2121111120013 its reverse (3100211111212), we get a palindrome (5221322231225).

The spelling of 2121111120013 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty thousand, thirteen".